12112121323120 has 160 divisors (see below), whose sum is σ = 34696153054080. Its totient is φ = 3829210951680.

The previous prime is 12112121323109. The next prime is 12112121323151. The reversal of 12112121323120 is 2132312121121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12112121323091 and 12112121323100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5966446 + ... + 7734514.

It is an arithmetic number, because the mean of its divisors is an integer number (216850956588).

Almost surely, 2^{12112121323120} is an apocalyptic number.

12112121323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112121323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348076527040).

12112121323120 is an abundant number, since it is smaller than the sum of its proper divisors (22584031730960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12112121323120 is a wasteful number, since it uses less digits than its factorization.

12112121323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769043 (or 1769037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12112121323120 its reverse (2132312121121), we get a palindrome (14244433444241).

The spelling of 12112121323120 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty".